Exercises on Euclid and in modern geometry for the use of schools, private students, and junior university students (1881)
McDowell, James L · Cambridge, Deighton, Bell, and Co. · leaf 76
of the inscribed circle; and if two sides beproduced through the extremities of the third side, the bisectorsof the two external angles and of the angle opposite to the thirdside, meet in the centre of the circle escribed to the third side,and the straight line joining any two centres {produced,… … (70,, bisecting the external angle BCEX and meeting AO in 0 ,and join #6^. From 0 and Ol draw the perpendiculars OB, OE,OF and 0^, 0XE^ 0^ to the sides of the triangle ABC or thosesides produced. It is proved in (IV. 4) that 0 is the centre of the inscribedcircle, and that D, E, F are its points of…
Geometry
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